ASYMPTOTIC PROPERTIES OF THE WIDTH OF THE LOWEST ENERGY-BAND OF THE DIRAC OPERATOR WITH A PERIODIC POTENTIAL

Authors
MOHAMED A PARISSE B OUTASSOURT A
Citation
A. Mohamed et al., ASYMPTOTIC PROPERTIES OF THE WIDTH OF THE LOWEST ENERGY-BAND OF THE DIRAC OPERATOR WITH A PERIODIC POTENTIAL, Helvetica Physica Acta, 66(2), 1993, pp. 192-215
Citations number
11
Categorie Soggetti
Physics
Journal title
Helvetica Physica Acta → ACNP
ISSN journal
00180238
Volume
66
Issue
2
Year of publication
1993
Pages
192 - 215
Database
ISI
SICI code
0018-0238(1993)66:2<192:APOTWO>2.0.ZU;2-Q
Abstract
The Dirac operator with a periodic potential has a band spectrum. We l ocalize these bands in the semi-classical sense, in particular we obta in a precise asymptotic expansion of the width of the lowest energy ba nd.